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Finding the Third Proportional to 19,841 and 40,396

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Solution

The third proportional to 19,841 and 40,396 is: 82,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841 : 40,396 = 40,396 : x
  2. Step 2: Convert to fraction form
    19,841/40,396 = 40,396/x
  3. Step 3: Cross multiply
    19,841x = 40,396 × 40,396
  4. Step 4: Simplify right side
    19,841x = 1,631,836,816
  5. Step 5: Solve for x
    x = 1,631,836,816/19,841
  6. Step 6: Final answer
    x = 82,245.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.